## On the Subject of Angles

It is rude to point, but when explosions are at stake, manners go out the window.

The module presents a circle with a needle coming from the center, which will always start off pointing to the right. Within the circle is an electronic display, which displays an angle in one of various notation formats.

The buttons underneath the display cycle it between nine angles. One of these is the correct one. To solve the module, the needle must be pointed at that angle. Use the following steps to figure out the correct angle:

### Step 1 of 5

Draw a circle. Make note of the top and bottom of this circle, as well as its left and right side. Do this from the observer’s perspective.

### Step 2 of 5

For each of the 9 angles on the module, draw a line going from the center of the circle at that angle, and mark the points where these lines intersect with the circle’s edge.

Use the notations table on the next page for help with decoding each of the various possible angular notation format, replacing ‘#’ with a number. This number can be positive, negative, zero, a fraction, or a decimal number.

Each format represents a different scale of angular notation. The table lists how many units of that scale go in a full rotation around the circle. The circle is to be divided into that number of equally sized increments. Then, starting from the starting point listed in the table, move in the direction (listed under column D) by the amount shown on the module.

Some scales behave differently or have extra notes. These are marked with an asterisk (*) in the table and have dedicated sections about them on subsequent pages. These sections may be required reading even if that notation isn’t present on the module, since some scales reference other scales.

Note that these notations may not necessarily be according to conventional mathematical standards.